Lu Shidai

Anime about a group of friends playing League of Legends. While A New Journey is official LoL commercial, Lu Shidai is unsanctioned series. 

Both of these are animations that parody western multiplayer games - League of Legends in one case, PUBG in the other. 

Group of friends playing an online game. Not transported into the world of the game, but really just playing a videogame through a computer. 

Chinese anime about a group of people playing a massively popular multiplayer online game. Unlike most video game inspired anime, these also focus on regular life of the players, not just in-game stuff. 

Both of those series parody actual western gaming franchises to the way of crossing the level of copyright infringement.  

Anime based on real life MMORPG that isn't focusing just on the in-game events, but shows us the lifes of the players outside the game.